Search a number
-
+
82390932 = 22341331631
BaseRepresentation
bin1001110100100…
…10111110010100
312202000220010000
410322102332110
5132043002212
612101531300
72020211541
oct472227624
9182026100
1082390932
1142564588
1223713b30
13140b9740
14ad29bc8
1573771dc
hex4e92f94

82390932 has 120 divisors (see below), whose sum is σ = 239816192. Its totient is φ = 24494400.

The previous prime is 82390907. The next prime is 82390933. The reversal of 82390932 is 23909328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82390933) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130257 + ... + 130887.

Almost surely, 282390932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82390932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119908096).

82390932 is an abundant number, since it is smaller than the sum of its proper divisors (157425260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82390932 is a wasteful number, since it uses less digits than its factorization.

82390932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 82390932 is about 9076.9450808077. The cubic root of 82390932 is about 435.1374595310.

The spelling of 82390932 in words is "eighty-two million, three hundred ninety thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 631 702 806 837 1053 1116 1209 1262 1404 1612 1674 1893 2106 2418 2511 2524 3348 3627 3786 4212 4836 5022 5679 7254 7572 8203 10044 10881 11358 14508 16406 17037 19561 21762 22716 24609 32643 32812 34074 39122 43524 49218 51111 58683 65286 68148 73827 78244 98436 102222 117366 130572 147654 176049 204444 221481 234732 254293 295308 352098 442962 508586 528147 664443 704196 762879 885924 1017172 1056294 1328886 1525758 1584441 2112588 2288637 2657772 3051516 3168882 4577274 6337764 6865911 9154548 13731822 20597733 27463644 41195466 82390932